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13403333330431 = 1116346116215547
BaseRepresentation
bin1100001100001011010011…
…1011000000010111111111
31202110100100100022121222221
43003002310323000113333
53224100011313033211
644301223433350211
72552234044344052
oct303026473002777
952410310277887
1013403333330431
1142a835a271630
1216057a5268367
13762c0ca78915
14344a20b9ca99
151839b8a18c71
hexc30b4ec05ff

13403333330431 has 16 divisors (see below), whose sum is σ = 14743435690368. Its totient is φ = 12083824879200.

The previous prime is 13403333330381. The next prime is 13403333330489.

13403333330431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13403333330431 - 215 = 13403333297663 is a prime.

It is a super-2 number, since 2×134033333304312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403333330531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7281201 + ... + 8934346.

It is an arithmetic number, because the mean of its divisors is an integer number (921464730648).

Almost surely, 213403333330431 is an apocalyptic number.

13403333330431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13403333330431 is a deficient number, since it is larger than the sum of its proper divisors (1340102359937).

13403333330431 is a wasteful number, since it uses less digits than its factorization.

13403333330431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16216182.

The product of its (nonzero) digits is 104976, while the sum is 34.

It can be divided in two parts, 1340333 and 3330431, that added together give a palindrome (4670764).

The spelling of 13403333330431 in words is "thirteen trillion, four hundred three billion, three hundred thirty-three million, three hundred thirty thousand, four hundred thirty-one".

Divisors: 1 11 163 461 1793 5071 75143 826573 16215547 178371017 2643134161 7475367167 29074475771 82229038837 1218484848221 13403333330431